100213301221 has 6 divisors (see below), whose sum is σ = 110151810566. Its totient is φ = 91103001000.

The previous prime is 100213301213. The next prime is 100213301231. The reversal of 100213301221 is 122103312001.

It can be written as a sum of positive squares in only one way, i.e., 87550300321 + 12663000900 = 295889^2 + 112530^2 .

It is not a de Polignac number, because 100213301221 - 2³ = 100213301213 is a prime.

It is a super-2 number, since 2×100213301221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100213301195 and 100213301204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213301231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 414104430 + ... + 414104671.

Almost surely, 2^100213301221 is an apocalyptic number.

100213301221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100213301221 is a deficient number, since it is larger than the sum of its proper divisors (9938509345).

100213301221 is an equidigital number, since it uses as much as digits as its factorization.

100213301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828209123 (or 828209112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100213301221 its reverse (122103312001), we get a palindrome (222316613222).

The spelling of 100213301221 in words is "one hundred billion, two hundred thirteen million, three hundred one thousand, two hundred twenty-one".